-
1
-
-
0002934469
-
Random self-avoiding walks on one-dimensional lattices
-
S. E. Alm and S. Janson, Random self-avoiding walks on one-dimensional lattices, Commun. Statist. Stochastic Models 6 (1990) 169-212.
-
(1990)
Commun. Statist. Stochastic Models
, vol.6
, pp. 169-212
-
-
Alm, S.E.1
Janson, S.2
-
2
-
-
35748962418
-
Linking of uniform random polygons in confined spaces
-
J. Arsuaga, T. Blackstone, Y. Diao, E. Karadayi and M Saito, Linking of uniform random polygons in confined spaces, J. Phys. A Math. Theor. 40 (2007) 1925-1936.
-
(2007)
J. Phys. A Math. Theor
, vol.40
, pp. 1925-1936
-
-
Arsuaga, J.1
Blackstone, T.2
Diao, Y.3
Karadayi, E.4
M Saito5
-
3
-
-
34548217153
-
Self-avoiding walk enumeration via the lace expansion
-
N. Clisby, R. Liang and G. Slade, Self-avoiding walk enumeration via the lace expansion, J. Phys. A Math. Theor. 40 (2007) 10973-11017.
-
(2007)
J. Phys. A Math. Theor
, vol.40
, pp. 10973-11017
-
-
Clisby, N.1
Liang, R.2
Slade, G.3
-
5
-
-
0039051533
-
-
Mathematical Problems in the Biological Sciences, in Proceeding of the Symposium on Applied Mathematics, Vol. 14 American Mathematical Society, Providence, RI
-
M. Delbruck, Mathematical Problems in the Biological Sciences, in Proceeding of the Symposium on Applied Mathematics, Vol. 14 (American Mathematical Society, Providence, RI, 1962), pp. 55-63.
-
(1962)
, pp. 55-63
-
-
Delbruck, M.1
-
7
-
-
0002844716
-
The complexity of lattice knots
-
Y. Diao and C. Ernst, The complexity of lattice knots, Topol. Appl. 90 (1998) 1-9.
-
(1998)
Topol. Appl.
, vol.90
, pp. 1-9
-
-
Diao, Y.1
Ernst, C.2
-
9
-
-
0035592909
-
Global knotting in equilateral random polygons
-
DOI 10.1142/S0218216501001025
-
Y. Diao, J. C. Nardo, and Y. Sun, Global knotting in equilateral random polygons, J. Knot Theory Ramifications 10 (2001) 597-607. (Pubitemid 33657022)
-
(2001)
Journal of Knot Theory and its Ramifications
, vol.10
, Issue.4
, pp. 597-607
-
-
Diao, Y.1
Nardo, J.C.2
Sun, Y.3
-
11
-
-
2142699012
-
Statistical mechanics with topological constraints: I
-
S. F. Edwards, Statistical mechanics with topological constraints: I, Proc. Phys. Soc. 91 (1967) 513-519.
-
(1967)
Proc. Phys. Soc.
, vol.91
, pp. 513-519
-
-
Edwards, S.F.1
-
13
-
-
3843150090
-
Tight knots
-
P. G. de Gennes, Tight knots, Macromol. 17 (1984) 703-704.
-
(1984)
Macromol
, vol.17
, pp. 703-704
-
-
De Gennes, P.G.1
-
15
-
-
0000447761
-
The number of polygons on a lattice
-
J. M. Hammersley, The number of polygons on a lattice, Proc. Cambridge Phil. Soc. 57 (1961) 516-523.
-
(1961)
Proc. Cambridge Phil. Soc.
, vol.57
, pp. 516-523
-
-
Hammersley, J.M.1
-
17
-
-
21144473069
-
The writhe of a self-avoiding polygon
-
E. J. Janse van Rensburg, E Orlandini, D. W. Sumners, M. C. Tesi and S. G. Whittington, The writhe of a self-avoiding polygon, J. Phys. A Math. Gen. 26 (1993) L981-L986.
-
(1993)
J. Phys. A Math. Gen.
, vol.26
-
-
Van Rensburg, E.J.J.1
E Orlandini2
Sumners, D.W.3
Tesi, M.C.4
Whittington, S.G.5
-
18
-
-
11044226431
-
-
eds. J. P. Mesirov, K. Schulten and D. W. Sumners Springer, New York
-
E. J. Janse van Rensburg, E. Orlandini, D. W. Sumners, M. C. Tesi and S. G. Whittington, Topology and geometry of biopolymers, in The IMA Volumes in Mathematics and Its Applications, Vol. 82, eds. J. P. Mesirov, K. Schulten and D. W. Sumners (Springer, New York, 1996), pp. 21-37.
-
(1996)
Topology and Geometry of Biopolymers, in the IMA Volumes in Mathematics and its Applications
, vol.82
, pp. 21-37
-
-
Van Rensburg, E.J.J.1
Orlandini, E.2
Sumners, D.W.3
Tesi, M.C.4
Whittington, S.G.5
-
19
-
-
0346736358
-
Gaussian random polygons are globally knotted
-
D. Jungreis, Gaussian random polygons are globally knotted, J. Knot Theory Ramifications 3 (1994) 455-464.
-
(1994)
J. Knot Theory Ramifications
, vol.3
, pp. 455-464
-
-
Jungreis, D.1
-
20
-
-
0004598743
-
Self-entanglement in ring polymers
-
K. Koniaris and M. Muthukumar, Self-entanglement in ring polymers, J. Chem. Phys. 95 (1991) 2873-2881.
-
(1991)
J. Chem. Phys
, vol.95
, pp. 2873-2881
-
-
Koniaris, K.1
Muthukumar, M.2
-
21
-
-
84968518918
-
Prime knots and tangles
-
W. B. R. Lickorish, Prime knots and tangles, Trans. Amer. Math. Soc. 267 (1) (1981) 321-332.
-
(1981)
Trans. Amer. Math. Soc.
, vol.267
, Issue.1
, pp. 321-332
-
-
Lickorish, W.B.R.1
-
23
-
-
0011507826
-
A pattern theorem for lattice clusters
-
N. Madras, A pattern theorem for lattice clusters, Ann. Combin. 3 (1999) 357-384.
-
(1999)
Ann. Combin
, vol.3
, pp. 357-384
-
-
Madras, N.1
-
27
-
-
21344479241
-
Random linking of lattice polygons
-
E. Orlandini, E. J. Janse van Rensburg, M. C. Tesi and S. G. Whittington, Random linking of lattice polygons, J. Phys. A Math. Gen. 27 (1994) 335-345.
-
(1994)
J. Phys. A Math. Gen.
, vol.27
, pp. 335-345
-
-
Orlandini, E.1
Van Rensburg, E.J.J.2
Tesi, M.C.3
Whittington, S.G.4
-
28
-
-
34247342665
-
Statistical topology of closed curves: Some applications in polymer physics
-
E. Orlandini and S. G. Whittington, Statistical topology of closed curves: Some applications in polymer physics, Rev. Modern Phys. 79 (2007) 611-642.
-
(2007)
Rev. Modern Phys
, vol.79
, pp. 611-642
-
-
Orlandini, E.1
Whittington, S.G.2
-
29
-
-
0039023668
-
Knots in random walks
-
N. Pippenger, Knots in random walks, Discrete Appl. Math. 25 (1989) 273-278.
-
(1989)
Discrete Appl. Math.
, vol.25
, pp. 273-278
-
-
Pippenger, N.1
-
30
-
-
0003740339
-
-
Publish or Perish, 1976 or AMS Chelsea Publishing
-
D. Rolfsen, Knots and Links (Publish or Perish, 1976) or (AMS Chelsea Publishing, 2003).
-
(2003)
Knots and Links
-
-
Rolfsen, D.1
-
31
-
-
0003661172
-
-
eds. S. G. Whittingon, D. W. Sumners and T. Lodge, Springer, New York
-
3, in The IMA Volumes in Mathematics and Its Applications, Vol. 103, eds. S. G. Whittingon, D. W. Sumners and T. Lodge, (Springer, New York, 1998), pp. 101-133.
-
(1998)
3, in the IMA Volumes in Mathematics and its Applications
, vol.103
, pp. 101-133
-
-
Soteros, C.E.1
-
32
-
-
33745292770
-
Eulerian graph embeddings and trails confined to lattice tubes
-
C. E. Soteros, Eulerian graph embeddings and trails confined to lattice tubes, J. Phys. Conf. Ser. 42 (2006) 258-267.
-
(2006)
J. Phys. Conf. Ser
, vol.42
, pp. 258-267
-
-
Soteros, C.E.1
-
36
-
-
0040228070
-
Lattice models of branched polymers: Effects of geometrical constraints
-
C. E. Soteros and S. G. Whittington, Lattice models of branched polymers: Effects of geometrical constraints, J. Phys. A Math. Gen. 22 (1989) 5259-5270.
-
(1989)
J. Phys. A Math. Gen.
, vol.22
, pp. 5259-5270
-
-
Soteros, C.E.1
Whittington, S.G.2
-
38
-
-
0029090187
-
Analysis of the mechanism of DNA recombination using tangles
-
D. W. Sumners, C. Ernst, S. J. Spengler and N. R. Cozzarelli, Analysis of the mechanism of DNA recombination using tangles, Q. Rev. Biophys. 28 (1995) 253-313.
-
(1995)
Q. Rev. Biophys.
, vol.28
, pp. 253-313
-
-
Sumners, D.W.1
Ernst, C.2
Spengler, S.J.3
Cozzarelli, N.R.4
-
39
-
-
79956112021
-
-
eds. S. G. Whittingon, D. W. Sumners and T. Lodge Springer, New York
-
M. C. Tesi, E. J. Janse van Rensburg, E. Orlandini and S. G. Whittington, Topological entanglement complexity of polymer chains in confined geometries, in The IMA Volumes in Mathematics and Its Applications, Vol. 103, eds. S. G. Whittingon, D. W. Sumners and T. Lodge (Springer, New York, 1998), pp. 135-157.
-
(1998)
Topological Entanglement Complexity of Polymer Chains in Confined Geometries, in the IMA Volumes in Mathematics and its Applications
, vol.103
, pp. 135-157
-
-
Tesi, M.C.1
Van Rensburg, E.J.J.2
Orlandini, E.3
Whittington, S.G.4
-
40
-
-
0000487792
-
The knot problem in statistical mechanics of polymer chains
-
A. V. Vologodskii, A. V. Lukashin, M. D. Frank-Kamenetskii and V. V. Anshelevich, The knot problem in statistical mechanics of polymer chains, Sov. Phys. JETP 39 (1974) 1059-1063.
-
(1974)
Sov. Phys. JETP
, vol.39
, pp. 1059-1063
-
-
Vologodskii, A.V.1
Lukashin, A.V.2
Frank-Kamenetskii, M.D.3
Anshelevich, V.V.4
-
41
-
-
0021972652
-
Discovery of a predicted DNA knot substantiates a model for site-specific recombination
-
S. A. Wasserman, J. M. Dungan and N. R. Cozzarelli, Discovery of a predicted DNA knot substantiates a model for site-specific recombination, Science 229 (1985) 171-174.
-
(1985)
Science
, vol.229
, pp. 171-174
-
-
Wasserman, S.A.1
Dungan, J.M.2
Cozzarelli, N.R.3
-
42
-
-
0022518195
-
Biochemical topology: Applications to DNA recombination and replication
-
S. A. Wasserman and N. R. Cozzarelli, Biochemical topology: Applications to DNA recombination and replication, Science 232 (1986) 951-960.
-
(1986)
Science
, vol.232
, pp. 951-960
-
-
Wasserman, S.A.1
Cozzarelli, N.R.2
-
43
-
-
0040892156
-
Extension of a theorem on super-multiplicative functions
-
J. B. Wilker and S. G. Whittington, Extension of a theorem on super-multiplicative functions, J. Phys. A Math. Gen. 12 (1979) L245-L247.
-
(1979)
J. Phys. A Math. Gen.
, vol.12
-
-
Wilker, J.B.1
Whittington, S.G.2
|